Synchronization criteria for a generalized complex delayed dynamical network model

✍ Scribed by Lei Wang; Hua-ping Dai; You-xian Sun

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 206 KB
• Volume: 383
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2007.03.011

✦ Synopsis

It has been demonstrated that most complex networks display synchronization phenomena, and this problem has attracted great attention of various fields including science and engineering. In this paper, a generalized complex dynamical network model with time-varying delays was presented. Kronecker product was adopted to investigate this model. Moreover, several synchronization criteria were derived for both delay-independent and delay-dependent asymptotical stability. Especially, it has been shown that synchronization of such dynamical network is determined by the linear matrix inequality consisting of coupling configuration matrices, inner-coupling matrices and isolated cells. At last, illustrative examples were given to validate the above-acquired.